具控制结构的广义似凸性

Generalized Convexity-like with Control Structure

在拓扑向量空间中通过集值映射建立拟锥,在此基础上利用拟锥引入较锥凸映射更一般的若干具控制结构的广义似凸映射和控制连续等概念,讨论它们之间的相互关系,并给出了一些性质。

Quasicone as a setvalued mapping has been introduced in topological vector space.With the quasicone,conceptions of several generalized convex-like mappings and continuity with control structure that is weaker than cone convex mappings are presented.The pater shows the interrelationships and some properties among them.